Notes on Hori Method for Non-Canonical Systems

Details Notes on Hori Method for Non-Canonical Systems Notes on Hori Method for Non-Canonical Systems

Nov 2003

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2003cemda..87..307d&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, v. 87, Issue 3, p. 307-315 (2003).

Astronomy and Astrophysics

Astronomy

Scientific paper

In this paper the new approach for the integration theory of the canonical version of Hori method recently proposed is extended to the non-canonical one. It will be shown that the non-homogeneous ordinary differential equation with an auxiliary parameter t* associated with the mth order equation of the algorithm can also be replaced by a non-homogeneous partial differential equation in the time t. Using a generalized canonical approach, the general algorithm proposed by Sessin is then revised; as well as the Lagrange variational equations for the non-canonical version of Hori method. A simplified algorithm derived from Sessin's algorithm is presented for non-linear oscillations problem.

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